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Finding the Fourth Proportional to 605,214.20, 908,696.10 and 456,498.20

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Solution

The fourth proportional to 605,214.20, 908,696.10 and 456,498.20 is: 685,407.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,214.20 : 908,696.10 = 456,498.20 : x
  2. Step 2: Convert to fraction form
    605,214.20/908,696.10 = 456,498.20/x
  3. Step 3: Cross multiply
    605,214.20x = 908,696.10 × 456,498.20
  4. Step 4: Simplify right side
    605,214.20x = 414,818,133,997.02
  5. Step 5: Solve for x
    x = 414,818,133,997.02/605,214.20
  6. Step 6: Final answer
    x = 685,407.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.